A study of the solar modulation of galactic cosmic rays and the origin of cosmic particles and anti-particles using stochastic differential equations

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We have built models of heliospheric magnetic field (HMF) corresponding to Parker-type and Fisk-type HMF including resultant current sheets. We have developed a fully 3D simulation code based on a coupled stochastic differential equations which allows us to investigate charge dependence of the solar modulation of galactic cosmic rays. The 22-year periodicity of the intensity of protons was reproduced nicely, however, we failed in reproducing quantitatively the time variation of the anti-proton to proton ratios. The energy dependence of positron to electron ratios observed by BESS and PAMELA experiment during different polarity of HMF is reproduced well by our model with Fisk-type HMF.